Finding the Third Proportional to 106,648 and 233,384

Step by Step Solution

1. Step 1: Write the proportion equation
   106,648 : 233,384 = 233,384 : x
2. Step 2: Convert to fraction form
   106,648/233,384 = 233,384/x
3. Step 3: Cross multiply
   106,648x = 233,384 × 233,384
4. Step 4: Simplify right side
   106,648x = 54,468,091,456
5. Step 5: Solve for x
   x = 54,468,091,456/106,648
6. Step 6: Final answer
   x = 510,727.73